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Finding the Fourth Proportional to 534.69, 804.96 and 490.05

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Solution

The fourth proportional to 534.69, 804.96 and 490.05 is: 737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.69 : 804.96 = 490.05 : x
  2. Step 2: Convert to fraction form
    534.69/804.96 = 490.05/x
  3. Step 3: Cross multiply
    534.69x = 804.96 × 490.05
  4. Step 4: Simplify right side
    534.69x = 394,470.65
  5. Step 5: Solve for x
    x = 394,470.65/534.69
  6. Step 6: Final answer
    x = 737.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.